Real-World implications

• Real-world implications


  Considerations about the practical applications of binary representations of images
• Bitmap format


  Uses 16 bits for each pixel
• A medium-priced smartphone has a screen resolution of 640 × 960 pixels
• Calculating data required to display an image

  1. 640 × 960 = 614 400 pixels in total

  2. 16 × 614 400 = 9 830 400 bits

  3. 9 830 400 ÷ 2^3 = 1 228 800 bytes

  4. 1 228 800 ÷ 2^20 = 1.171875 megabytes (MB)
• Megabyte (MB)


  2^20 bytes
• Megabit per second (Mbps)


  1 000 000 bits per second
• Calculating download time for a 3 MB file at 14.1 Mbps

  1. 3 × 2^10 × 2^10 × 8 = 25 165 824 bits

  2. 14 100 000 bits per second

  3. time = 25 165 824 ÷ 14 100 000 = 1.78 seconds
• Bitmap format


  Uses 24 bits for each pixel
• Calculating pixels and data for 1024 × 768 screen resolution


  1. 1024 × 768 = 786 432 pixels

  2. 786 432 × 24 = 18 874 368 bits
• Calculating upload time for a 24-bit 1024 × 768 image at 2.3 Mbps


  1. 18 874 368 bits

  2. 2 300 000 bits per second

  3. time = 18 874 368 ÷ 2 300 000 = 8.21 seconds